Unbounded Jacobi Matrices with Empty Absolutely
Continuous Spectrum

Petru Cojuhari; Jan Janas

doi:10.4064/ba56-1-5

Wydawnictwa / Czasopisma IMPAN / Bulletin of the Polish Academy of Sciences. Mathematics / Wszystkie zeszyty

Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum

Tom 56 / 2008

Petru Cojuhari, Jan Janas Bulletin Polish Acad. Sci. Math. 56 (2008), 39-51 MSC: Primary 47B36; Secondary 47A75. DOI: 10.4064/ba56-1-5

Streszczenie

Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.

Autorzy

Petru CojuhariDepartment of Applied Mathematics
AGH University of Science and Technology
Al. Mickiewicza 30
30-059 Krak/ow, Poland
e-mail
Jan JanasInstitute of Mathematics
Polish Academy of Sciences
/Sw. Tomasza 30
31-027 Krak/ow, Poland
e-mail

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